Maps Completely Preserving Jordan 1-*-Zero-Product on Factor Von Neumann Algebras  

作　　者：Li HUANG Yu ZHANG Wenhui LI 

机构地区：[1]Department of Mathematics, Taiyuan University of Science and Technology

出　　处：《Journal of Mathematical Research with Applications》2018年第3期287-292,共6页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11501401)

摘　　要：Let H, K be infinite dimensional complex Hilbert spaces, and A, B be factor von Neumann algebras on H and K, respectively. It is shown that every surjective map completely preserving Jordan 1-＊-zero-product from A to B is a nonzero scalar multiple of either a linear＊-isomorphism or a conjugate linear ＊-isomorphism.Let H, K be infinite dimensional complex Hilbert spaces, and A, B be factor von Neumann algebras on H and K, respectively. It is shown that every surjective map completely preserving Jordan 1-＊-zero-product from A to B is a nonzero scalar multiple of either a linear＊-isomorphism or a conjugate linear ＊-isomorphism.

关 键 词：factor von Neumann algebras Jordan 1-zero-product complete preserver problems 

分 类 号：O177[理学—数学]